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Finding the Third Proportional to 130,056 and 190,128

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Solution

The third proportional to 130,056 and 190,128 is: 277,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,056 : 190,128 = 190,128 : x
  2. Step 2: Convert to fraction form
    130,056/190,128 = 190,128/x
  3. Step 3: Cross multiply
    130,056x = 190,128 × 190,128
  4. Step 4: Simplify right side
    130,056x = 36,148,656,384
  5. Step 5: Solve for x
    x = 36,148,656,384/130,056
  6. Step 6: Final answer
    x = 277,946.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.